1 Electrical and Computer Engineering Department, American University of Beirut, Beirut, Lebanon. 2 Beirut Research and Innovation Center, Lebanese Center for Studies and Research, Beirut, Lebanon.
Boundary value problems and integro-differential equations lie at the heart of modern applied mathematics, providing robust frameworks to model phenomena across physics, engineering and beyond. These ...
Department of Mathematics, University of Lagos, Lagos, Nigeria. Department of Mathematics, Yaba College of Technology, Lagos, Nigeria. Department of Mechanical Engineering, Yaba College of Technology, ...
Abstract: Finite element method (FEM) is a numerical method for solving boundary value problem. The purpose of FEM is to solve partial differential equation (PDE) with specific boundary conditions. It ...
SIAM Journal on Applied Mathematics, Vol. 22, No. 4 (Jun., 1972), pp. 629-647 (19 pages) The two-time perturbation procedure is applied to a class of inhomogeneous initial boundary value problems for ...
The common techniques for solving two-point boundary value problems can be classified as either "shooting" or "finite difference" methods. Central to a shooting method is the ability to integrate the ...
This paper presents a novel and direct approach to solving boundary- and final-value problems, corresponding to barrier options, using forward pathwise deep learning and forward–backward stochastic ...
SIAM Journal on Numerical Analysis contains research articles on the development and analysis of numerical methods including their convergence, stability, and error ...
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